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Finding the Fourth Proportional to 12,842.10, 19,277.55 and 9,933.30

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Solution

The fourth proportional to 12,842.10, 19,277.55 and 9,933.30 is: 14,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.10 : 19,277.55 = 9,933.30 : x
  2. Step 2: Convert to fraction form
    12,842.10/19,277.55 = 9,933.30/x
  3. Step 3: Cross multiply
    12,842.10x = 19,277.55 × 9,933.30
  4. Step 4: Simplify right side
    12,842.10x = 191,489,687.42
  5. Step 5: Solve for x
    x = 191,489,687.42/12,842.10
  6. Step 6: Final answer
    x = 14,911.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.